Question Number 40088 by maxmathsup by imad last updated on 15/Jul/18 $${calculate}\:\:\:{lim}_{{x}\rightarrow+\infty} \:\:\:{x}^{\mathrm{2}} {sin}\left(\frac{\mathrm{1}}{{x}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40086 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:{x}\:\left[\frac{\mathrm{1}}{{x}}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40084 by maxmathsup by imad last updated on 15/Jul/18 $${calculate}\:{lim}_{{x}\rightarrow\frac{\pi}{\mathrm{4}}} \:\:\:\:\frac{{sin}\left(\mathrm{2}{x}\right){sin}\left({x}−\frac{\pi}{\mathrm{4}}\right)}{{sinx}\:−{cosx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40085 by maxmathsup by imad last updated on 15/Jul/18 $${calculate}\:{lim}_{{x}\rightarrow\frac{\pi}{\mathrm{3}}} \:\:\:\:\:\frac{{tan}\left({x}\right){tan}\left({x}−\frac{\pi}{\mathrm{3}}\right)}{\mathrm{1}−\mathrm{2}{cosx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 105614 by bemath last updated on 30/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{tan}\:\left(\mathrm{cos}\:\mathrm{2}{x}−\mathrm{1}\right)}{\mathrm{2}{x}^{\mathrm{2}} }\:? \\ $$ Commented by PRITHWISH SEN 2 last updated on 30/Jul/20 $$\mathrm{let}\:\mathrm{cos2x}−\mathrm{1}=\mathrm{t}\Rightarrow\mathrm{x}\rightarrow\mathrm{0}\:\mathrm{then}\:\mathrm{t}\rightarrow\mathrm{0} \\…
Question Number 171124 by mnjuly1970 last updated on 08/Jun/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 105584 by bemath last updated on 30/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left[\mathrm{csc}^{\mathrm{2}} \left(\mathrm{2}{x}\right)−\frac{\mathrm{1}}{\mathrm{4}{x}^{\mathrm{2}} }\:\right]? \\ $$ Answered by bobhans last updated on 30/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left[\frac{\mathrm{1}}{\mathrm{sin}\:^{\mathrm{2}} \left(\mathrm{2}{x}\right)}−\frac{\mathrm{1}}{\mathrm{4}{x}^{\mathrm{2}}…
Question Number 105545 by 4635 last updated on 29/Jul/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{sin}\:{x}}{{x}}{dx} \\ $$ Answered by Ar Brandon last updated on 29/Jul/20 $$\mathrm{Let}\:\mathrm{f}\left(\mathrm{a}\right)=\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{sinx}}{\mathrm{x}}\centerdot\mathrm{e}^{−\mathrm{ax}}…
Question Number 171079 by greougoury555 last updated on 07/Jun/22 $$\:\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\sqrt{\mathrm{1}−{x}}}}−\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+{x}}}}}{{x}}=? \\ $$ Commented by benhamimed last updated on 07/Jun/22 $$\frac{−\mathrm{1}}{\mathrm{24}} \\ $$ Commented by…
Question Number 105410 by john santu last updated on 28/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}\left(\mathrm{1}+{a}\:\mathrm{cos}\:{x}\right)−{b}\mathrm{sin}\:{x}}{{x}^{\mathrm{5}} }\:=\:\mathrm{1} \\ $$$${find}\:{a}\:\&\:{b}\: \\ $$ Answered by bobhans last updated on 29/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}}…